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Question

The ratio of angular speed of minute hand to that of hour hand of a watch is:

A
6:1
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B
1:6
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C
1:12
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D
12:1
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Solution

The correct option is D 12:1
Step 1: Angular speed of hour hand
Hour hand makes the rotation of 2π in 12 hours.
WH=2π12rad/hr. ....(1)

Step 2: Angular speed of minute hand
Minute hand makes the rotation of 2π in 1 hour.
WM=2π1rad/hr.=2π rad/hr. ....(2)

Step 3: Ratio of angular speeds
Divide equation (1) & (2)
WMWH=2π2π12=12:1

Hence, Option (D) is correct.


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